Math 135 Winter 2015
Instructor 


Ebru Bekyel 
Office hours: M
2:30–3:30, F 2:003:00 and Tu 1:302:30 in PDLC
422. I am also in my office 9:3010:20 every morning except Thursdays. 
Teaching Assistant 
Office Hours 
Kolya Malkin 
W 9:0010:00, 5:006:00, S 4:005:00 in PDLC 86 
For the times and places of the sections see the schedule. 
Textbooks
Calculus, 10^{th}
Edition, by Salas, Hille and Etgen,
Chapters 1114.
Ordinary Differential
Equations, by Tenenbaum and Pollard, Chapters 4, 5, 6, and 11.
Grading
There will be two midterms,
one final exam, homework assignments and quizzes. The midterms are 25% each,
the final is 30%, the homework assignments are
10% and quizzes are 10% of your total grade. Late homework
is not accepted and there are no quiz make ups. I will drop your lowest
homework and quiz grade at the end of the quarter.
Week at a
glance
Lectures are on MTuWF. Besides the textbooks, there will be supplementary
handouts. I will not cover everything in lectures. You have to read the
relevant sections in the textbooks and/or the handouts. Thursday quiz sections are for discussing problems with your
TA. You should go to quiz sections prepared to ask and answer questions. There
will be quizzes on most Thursdays. I will announce the quiz topic in lecture on
Wednesdays if you remind me. The homework assignments are due on Mondays at the
beginning of class.
Calculator
policy
Calculators are not allowed
on quizzes or exams.
Week 
Week of 
Schedule and Announcements 
1 
01/05 
·
From SHE: Sections
11.111.6 ·
You can follow your grades from https://catalyst.uw.edu ·
Homework
#1, due Monday
01/12 
2 
01/12 
From SHE: Sections 11.7, 12.112.5 and approximating Infinite
Series Using the Integral Test. ·
Homework
#2, due Tuesday 01/20 
3 
01/19 
From SHE: Sections 12.6,12.7 ·
Taylor
Polynomials by Tom Duchamp ·
Homework
#3, due Monday 01/26 
4 
01/26 
From SHE: Sections 12.8, 12.9, 10.2, 10.3 ·
Complex
Numbers The graph in the last part is wrong.
Here is the correct
version. ·
Homework
#4 due Monday 02/02 ·
Here is a Midterm
1 Review and some hints. 
5 
02/02 
Review. From TP: Picard Iteration, pages 719734. Omit the
proof of Theorem 58.5. ·
Midterm 1 on 02/03 ·
Cauchy
Sequences of Functions and Picard
Iteration notes by Tom Duchamp. ·
Homework
#5
due Monday 02/09 
6 
02/09 
From TP: Chapter 4 and Chapter 6 pages 313326, 338365. ·
Homework
#6 due Tuesday 02/17 ·
Here is a practice
sheet for the method of undetermined coefficients and the
answers. ·
Here is a summary
of Friday’s lecture including the link to the examples I talked about. 
7 
02/16 
From TP: Chapter 5, pages 292312 ·
My
lecture notes on the Laplace transform ·
We are not going to
prove the injectivity of the Laplace transform in
class. Here
is a nice proof if you want to read it. The proof is not difficult, but it
refers to another proof which is long. ·
A
table of Laplace transforms. You will have this sheet in Midterm 2 and
the Final Exam ·
Homework
#7 due Monday 02/23 
8 
02/23 
·
Chapter 9, pages
531546, from SHE Sections 13.1, 13.2. ·
Homework
#8 due Monday 03/02 ·
Here are some review
problems for the second midterm. 
9 
03/02 
Review, From SHE:
Sections 13.313.6 ·
Midterm 2 on 03/03 ·
Homework
#9 due Monday 03/09 ·
There are three ways
we describe a line in space. There is an example on
this page showing how to interpret them geometrically. Note that I used
<a,b,c> for vectors
instead of (a,b,c). 
10 
03/09 
From SHE: Sections 14.114.5 ·
Homework
#10 due FRIDAY the 13^{th} ·
Here is a nice
animation of the Frenet
frame (also called the TNB frame) of Project 14.5B. ·
Here are animations
showing how a vector function traces a curve in space and the definition of
the derivative as a limit. ·
These
animations show the osculating and normal planes of a curve. ·
Here is a final
exam review and hints
for the solutions. On the final exam, I am planning to ask two questions
from each of the three parts: sequences and series, DEs, vector calculus. 

Final Exam 
Monday, March 16, 2015,8:3010:20, BNS 203 